SUMMARYIn this paper, a new class of invariant sensitivity sums of higher-order sensitivities is given. Sensitivity sums considered are relevant to a network function of general lumped time-invariant circuits containing passive and active elements. It is assumed that the circuit is linear and consists of one-port elements and two-port elements only. A part of the one-port elements is described by admittance parameters and the other part by impedance parameters. The rest of the one-port elements are independent sources. Two-port elements are only controlled sources. Hybrid matrix should describe functional relationships of the elements. Formulas for invariant sums of sensitivities of first, second, third, and fourth order are presented.
SUMMARYThe aim of the research reported in this paper is to extend the notion of invariant sensitivity sum, widely known for electrical networks, from first-order sensitivities to high-order sensitivities. The results are high-order invariant sums of sensitivities of the first and the second kind, formulated for nonlinear lumped circuit, which consists of one-port and two-ports only. One-ports are generalized resistances, capacitances, inductances, voltages, and current sources, whereas two-ports are nonlinear generalizations of four types of controlled sources. It is observed that the invariant sums actually found for nonlinear lumped networks are generalizations of sums given earlier by authors for linear lumped networks. The article is illustrated by numerical sensitivity analysis of simple linear and nonlinear circuits.
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